What is 4*2/3-4\div 6 ?

The solution to 4*2/3-4\div 6 is 2

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4*2/3-4\div 6

4 \cdot \frac{2}{3} - 4 \div 6

2

Solution steps

4 \cdot \frac{2}{3} - 4 \div 6

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 \cdot \frac{2}{3} : \frac{8}{3}

4 \cdot \frac{2}{3}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{2}{3}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 2}{1 \cdot 3}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{8}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{8}{3}

= \frac{8}{3} - 4 \div 6

Multiply and divide (left to right)

4 \div 6 : \frac{4}{6}

4 \div 6

4 \div 6 = \frac{4}{6}

= \frac{4}{6}

= \frac{8}{3} - \frac{4}{6}

Add and subtract (left to right)

\frac{8}{3} - \frac{4}{6} : 2

\frac{8}{3} - \frac{4}{6}

\frac{8}{3} - \frac{4}{6} = 2

\frac{8}{3} - \frac{4}{6}

Cancel

\frac{4}{6} : \frac{2}{3}

\frac{4}{6}

Cancel the common factor:

2

= \frac{2}{3}

= \frac{8}{3} - \frac{2}{3}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{8 - 2}{3}

Subtract the numbers:

8 - 2 = 6

= \frac{6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2

= 2

= 2

4 \times 2 - 3

- 4^{3} + 4

4 \times 3 - 3

4 \times 3 - 8

4 - 3 [2 + 4 (1 - 7)] + 6 - (- 5)